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Finding the Third Proportional to 185,438 and 400,441

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Solution

The third proportional to 185,438 and 400,441 is: 864,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,438 : 400,441 = 400,441 : x
  2. Step 2: Convert to fraction form
    185,438/400,441 = 400,441/x
  3. Step 3: Cross multiply
    185,438x = 400,441 × 400,441
  4. Step 4: Simplify right side
    185,438x = 160,352,994,481
  5. Step 5: Solve for x
    x = 160,352,994,481/185,438
  6. Step 6: Final answer
    x = 864,725.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.